Graded contractions of the Pauli graded \(\text{sl}(3,\mathbb C)\)

DOI10.1016/j.laa.2006.02.026zbMath1161.17305arXivmath-ph/0509033OpenAlexW2053615765MaRDI QIDQ855541

Jiří Hrivnák, J. Tolář, Petr Novotný, Jirí Patera

Publication date: 7 December 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0509033

zbMATH Keywords

Lie algebragraded contraction\(\text{sl}(3,\mathbb C)\)Lie algebra identificationPauli grading

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (10)

Varieties of nilpotent Lie superalgebras of dimension \(\leq 5\) ⋮ Invariant functions and contractions of certain types of Lie algebras of lower dimensions ⋮ Degenerations of Filippov algebras ⋮ Degenerations of 8-dimensional 2-step nilpotent Lie algebras ⋮ Graded contractions of the Gell-Mann graded $sl(3,\mathbb {C})$sl(3,C) ⋮ On \((\alpha,\beta,\gamma)\)-derivations of Lie algebras and corresponding invariant functions ⋮ Degenerations of Jordan superalgebras ⋮ Twisted cocycles of Lie algebras and corresponding invariant functions ⋮ Equivalence of diagonal contractions to generalized IW-contractions with integer exponents ⋮ The Lorentz extension as consequence of the family symmetry

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